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Topics in Ergodic Theory

Topics in Ergodic Theory

Paperback

Series: Cambridge Tracts in Mathematics, Book 75

Calculus

ISBN10: 0521604907
ISBN13: 9780521604901
Publisher: Cambridge University Press
Published: Jun 3 2004
Pages: 124
Weight: 0.38
Height: 0.33 Width: 5.60 Depth: 8.54
Language: English
Ergodic theory grew out of an important problem of statistical mechanics which was resolved by Birkhoff and von Neumann in the 1930s. Since that time the subject has made its way to the centre of pure mathematics, drawing on the techniques of many other areas and, in turn, influencing those areas. The author has provided in this slim volume a speedy introduction to a considerable number of topics and examples. He includes sections on the classical ergodic theorems, topological dynamics, uniform distribution, Martingales, information theory and entropy. There is a chapter on mixing and one on special examples. The book concludes with an appendix on the spectral multiplicity theory of unitary operators.

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Calculus